Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
Read More Add to Saved list
  • Additional Information
    • Contributors:
      Institute of Computational Technologies; Russian Academy of Sciences [Moscow] (RAS); Laboratoire de Mathématiques (LAMA); Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]); Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]); Institut National des Sciences Mathématiques et de leurs Interactions (INSMI); Russian Academy of Sciences Moscow (RAS); Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS); Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry ); Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques (INSMI-CNRS)
    • Publication Information:
      Preprint
    • Publication Information:
      Global Science Press, 2018.
    • Publication Date:
      2018
    • Abstract:
      In this paper, we describe a numerical method to solve numerically the weakly dispersive fully nonlinear Serre-Green-Naghdi (SGN) celebrated model. Namely, our scheme is based on reliable finite volume methods, proven to be very effective for the hyperbolic part of equations. The particularity of our study is that we develop an adaptive numerical model using moving grids. Moreover, we use a special form of the SGN equations where non-hydrostatic part of pressure is found by solving a nonlinear elliptic equation. Moreover, this form of governing equations allows determining the natural form of boundary conditions to obtain a well-posed (numerical) problem.
      67 pages, 17 figures, 3 tables, 149 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/
    • ISSN:
      1991-7120
      1815-2406
    • Accession Number:
      10.4208/cicp.oa-2016-0179b
    • Accession Number:
      10.48550/arxiv.1707.01301
    • Rights:
      CC BY NC SA
      CC BY ND SA
    • Accession Number:
      edsair.doi.dedup.....1aa72e26e3983e57840174e8a522c218